Counting pairs of polynomials whose product is a cube

DOI10.1016/j.jnt.2023.09.009MaRDI QIDQ6184608

Kui Liu, Wei Niu

Publication date: 25 January 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

function fieldasymptotic formulacounting solutions of Diophantine equations

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Counting solutions of Diophantine equations (11D45) Zeta functions and (L)-functions of function fields (11R59)

Cites Work

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• Squarefree polynomials and Möbius values in short intervals and arithmetic progressions
• On the number of pairs of positive integers \(x_1,x_2 \leq H\) such that \(x_1x_2\) is a \(k\)-th power
• The density of rational points on the cubic surface X 3 0= X 1 X 2 X 3
• On the Number of Products Which Form Perfect Powers and Discriminants of Multiquadratic Extensions

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